![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
How to calculate the approximate value of pie?
Non mathematical proof method: a simple and practical method is to measure with a ruler and find a standard ring, such as adhesive tape. You can cut a small hole in the middle of the adhesive tape with a knife, tear it off along both sides of the hole, measure its length as the circumference, and then measure the diameter of the adhesive tape
How to calculate the approximate value of π?
You can change the angle, take a piece of iron wire, measure its length, circle it into a circle, and measure its diameter. That length is the circumference of the circle, and then divide the circumference by the diameter
LIM (x → 0) sin (n-th power of x) / (n-th power of SiNx) Find the limit
X → 0, SiNx and X are equivalent infinitesimals
x→0,x^n→0
So SiNx ^ n and x ^ n are equivalent infinitesimals
So the original formula = LIM (x → 0) x ^ n / (SiNx) ^ n
=lim(x→0)(x/sinx)^n
=1^n
=1
Cos (sin negative power x) =? The value of COS (sin negative power x) is I don't think I can do it Math master help see Xie Laixian
Let t = sin to the negative power X
Then: x = sint
Cost = + - root sign (1 - (Sint) ^ 2)
=+- root sign (1-x ^ 2)
Cos (sin negative power x) = + - root sign (1-x ^ 2)
SiNx + cosx = 1 find sin n power X + cos n power X
SiNx + cosx = root 2 * sin (x + pi / 4) so sin (x + pi / 4) = root 2 / 2 so x = 2npi or x = 2npi + pi / 2 when x = 2npi SiNx = 0 cosx = 1 sin n power X + cos n power x = 1 when x = 2npi + pi / 2 SiNx = 1 cosx = 0 sin n power X + cos n power x = 1
Find the limit: LIM (x → 0) [cosx + cos ^ x + cos3 (power) x +... + Cosn (power) x] / (cosx-1), [n (n + 1)] / 2,
=lim[-sinx-2cosxsinx-3cos^2xsinx-…-ncos^(n-1)xsinx]/(-sinx)
=lim[1+2cosx+…ncos^(n-1)x
=1+2+…n
=(1+n)n/2
RELATED INFORMATIONS
- 1. Using cos α Represents sin α (quartic) - Sin α (quadratic) + cos α (quadratic)
- 2. ∫(cos√x)^2dx
- 3. Integral (COS x) / (3 + sin square x) DX
- 4. Calculus solution: (4-x ^ 2) DX under ∫ radical Calculus solution: (4-x ^ 2) DX under ∫ radical The integral number is 2 above and 0 below At least give me an idea. I don't just want answers. I don't see the root sign on the second floor.
- 5. ∫ （3x^4+3x ²+ 1）/（x ²+ 1） dx
- 6. The numerator is 1 - (x) 2 and the denominator is 1 + X + (x) 2. Find the derivative result
- 7. lim┬(x→π)〖(π-x)cos 1/(x-π)〗
- 8. X tends to 0 Lim cos (1 / x), X tends to Pai / 2 TaNx
- 9. Find the approximate value. If the approximate value is equal to the exact value, is it written as approximately equal to or equal to If 5 retains two decimal places, is it written as approximately equal to or equal to 5.00
- 10. Is the area of an irregular figure calculated by calculus an exact value or an approximate value?
- 11. If the function f (x) = log (x2 ax + 1 / 2) has a minimum value, then the value range of real number a is 2. It is known that the domain of function f (x) is the set of real numbers R, m and N are all real numbers. If the inequality f (m) - f (n) > F (- M) - f (- n) holds, then the following inequality holds Am-n0 C m+n
- 12. Finding the center of gravity of an object by calculus There is a circular iron sheet with uniform thickness, and its radius is 30 cm long. Now take any of its radius as the diameter of the small circle as a circle (the small circle is too large for the center of the circle), and cut off the small circle with a diameter of 30 cm. Find out how many cm is the distance between the center of gravity of the remaining part (crescent shaped) and the center of the large circle? Requirements: use calculus to solve, and give the detailed process Thank you very much.
- 13. How to calculate the area of a graph by calculus? The area of the figure enclosed in the first quadrant by the X, Y axis and the circle with (a, b) as the center and radius R Arithmetic square root with radius less than (A2 + B2)~
- 14. The problem of finding the original function in calculus, Ax ^ 2 / 1 + A ^ 2 + x ^ 2 (a is constant) The numerator is ax ^ 2 and the denominator is 1 + A ^ 2 + x ^ 2 Find primitive function The original question should be ∫ (AX ^ 2 / 1 + A ^ 2 + x ^ 2) DX
- 15. Derivation of basic functions After observing y '= 2x y = x ^ (1 / 2) y' = 1 / [2x ^ (1 / 2)] y = x ^ 3-4x y '= 3x ^ 2-4 of y = x ^ 2, I guess that for y = x ^ m, the derivative y' of the function in the form of (M > 1) satisfies y '= MX ^ (m-1). Is my guess correct
- 16. The symmetry axis equation of the function y = cos (2x + π / 3) is
- 17. Find derivative y = (x-1) ² （x+1） ³
- 18. Find the function limit Lim x → 0 e ^ x-x-1 / X cos x
- 19. Derivation of trigonometric function Y = (sin3x) ^ 2 + 5cos x ^ 2 is known to find the derivative of Y!
- 20. Let f (x) = e ^ (3x), find f '(x) by using the definition of derivative This is mainly about derivatives